13825501350 has 96 divisors (see below), whose sum is σ = 35175561120. Its totient is φ = 3591552000.

The previous prime is 13825501337. The next prime is 13825501369. The reversal of 13825501350 is 5310552831.

It is a super-2 number, since 2×13825501350² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5785956 + ... + 5788344.

It is an arithmetic number, because the mean of its divisors is an integer number (366412095).

Almost surely, 2^13825501350 is an apocalyptic number.

13825501350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13825501350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587780560).

13825501350 is an abundant number, since it is smaller than the sum of its proper divisors (21350059770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13825501350 is a wasteful number, since it uses less digits than its factorization.

13825501350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 13825501350 in words is "thirteen billion, eight hundred twenty-five million, five hundred one thousand, three hundred fifty".